Question

if G={7,8} and Have={5,4,2} find G×H and H×G​

Answer 1

Answer:

We know that the Cartesian product of P×Q of two non-empty sets P and Q is defined as

P×Q={(p,q):p∈P,q∈Q}

∴G×H={(7,5),(7,4),(7,2),(8,5),(8,4),(8,2)}

and H×G={(5,7),(5,8),(4,7),(4,8),(2,7),(2,8)}

Answer 2

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G = {7 , 8}

H = {5 , 4 , 2}

G × H = {7 , 8} × {5 , 4 , 2}

G×H = {(7 , 5) , (7 , 4) , (7 , 2) , (8 , 5) , (8 , 4) , (8 , 2)}

H × G = {5 , 4 , 2} × {7 , 8}

H × G = {(5 , 7) , (5 , 8) , (4 , 7) , (4 , 8) , (2 , 7), (2 , 8)}